Answer :
Final answer:
The least and greatest number of ounces of coffee that the machine may dispense are 7.76 oz and 8.24 oz, respectively. This is calculated by finding 3% of 8 ounces, which equals 0.24 ounces, and adjusting the standard volume by this amount. The correct option is a.
Explanation:
The question is about calculating the range of coffee volume dispensed by a machine with a given variation percentage. The coffee machine dispenses 8-ounce cups of coffee and may vary by 3%. To find the least and greatest number of ounces it may dispense, we calculate 3% of 8 ounces and then subtract or add this amount to the standard volume.
To calculate 3% of 8 ounces:
3% of 8 oz = 0.03 imes 8 = 0.24 oz
Now to find the range:
Least amount (subtracting the variation):
8 oz - 0.24 oz = 7.76 oz
Greatest amount (adding the variation):
8 oz + 0.24 oz = 8.24 oz
Therefore, the least and greatest number of ounces the coffee machine may dispense are 7.76 ounces and 8.24 ounces, respectively, which corresponds to option a).
